Question

An ice cube tray contains enough water at 22.0°C to make 18 ice cubes that each have a mass of 30.0 g. The tray is placed in a freezer that uses CF2Cl2 as a refrigerant. The heat of vaporization of CF2Cl2 is 158 J/g. What mass of CF2Cl2 must be vaporized in the refrigeration cycle to convert all the water at 22.0°C to the ice at -5.0°C? The specific heat capacities for H2O (s) and H2O (l) are 2.03 J/g•°C and 4.18 J/g•°C, respectively, and the enthalpy of fusion for ice is 6.01 kJ/mol.

          An ice cube tray contains enough water at 22.0°C to make 18 ice cubes that each have a mass of 30.0 g. The tray is placed in a freezer that uses CF2Cl2 as a refrigerant. The heat of vaporization of CF2Cl2 is 158 J/g. What mass of CF2Cl2 must be vaporized in the refrigeration cycle to convert all the water at 22.0°C to the ice at -5.0°C? The specific heat capacities for H2O (s) and H2O (l) are 2.03 J/g•°C and 4.18 J/g•°C, respectively, and the enthalpy of fusion for ice is 6.01 kJ/mol.
        
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Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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An ice cube tray contains enough water at 22.0°C to make 18 ice cubes that each have a mass of 30.0 g. The tray is placed in a freezer that uses CF2Cl2 as a refrigerant. The heat of vaporization of CF2Cl2 is 158 J/g. What mass of CF2Cl2 must be vaporized in the refrigeration cycle to convert all the water at 22.0°C to the ice at -5.0°C? The specific heat capacities for H2O (s) and H2O (l) are 2.03 J/g•°C and 4.18 J/g•°C, respectively, and the enthalpy of fusion for ice is 6.01 kJ/mol.
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Transcript

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00:01 Hi, in this question we are asked to calculate mass of cf2 -cl2 that is vaporized in refrigerator cycle to convert all the water at 22 degrees celsius to ice at minus 5 degrees celsius.
00:15 We are given with mass of one ice cube that is 30 gram.
00:19 It means the mass of 18 ice cube will be 18 into 30 gram.
00:22 The temperature of water and temperature of ice is also given.
00:26 Specific heat capacity of water in solid and liquid form is.
00:30 Also given delta h vaporization of cf2 cl2 and delta h fuzin of ice is given here we can say that first the temperature of water will decrease from 22 degrees celsius to 0 degrees celsius for which there will be energy release and that energy release q1 will be given by the relation m cp delta t m is the mass cp is the specific heat capacity of water and delta t is changed in after that, there will be phase change from water to ice in that there will be q2 heat release, it will be equal to moles into delta h vaporization.
01:13 And then there will be decrease in temperature from 0 degrees celsius to minus 5 degrees celsius.
01:21 That q3 energy or heat will be given by the relation m, cp, delta t.
01:29 Here, cp is the specific heat capacity of ice.
01:33 We can substitute the values for q1 heat release in this manner.
01:38 Now we will eliminate the common units.
01:40 Gram will be cancelled from gram.
01:41 Degree celsius will be cancelled from degree celsius.
01:44 And on solving this, we are getting the q1 value minus 49740.
01:52 We can convert it into kilojoule by dividing this value by 1000.
01:56 On doing so, we are getting minus 49.
01:59 7 4 kilojoule.
02:02 Now we can substitute the values for q2 heat release.
02:05 It will be equal to moles into delta h vaporization...
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